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Real Analysis

Modern Techniques and Their Applications
Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
Real Analysis by Gerald B. Folland delves into the rigorous exploration of measure theory, integration, and functional analysis, essential foundations of modern mathematics. It provides insights into Lebesgue integration on Euclidean spaces, introducing complex subjects with clarity and precision. Geared towards a deep understanding of these concepts, it serves as an indispensable resource for advanced mathematics students and professionals.
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Format: Hardback
$39100

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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

You might enjoy this book if you have a keen interest in deeper understanding of mathematics, particularly in the rigorous study of real analysis. It's ideal for those who appreciate a structured approach to solving complex mathematical problems and enjoy exploring the theoretical foundations that underpin various branches of science and nature.

Book Hero thinking about your next read

Real analysis is the section of mathematics that studies the functions of real variables such as measurements, integrations, and topology results. This new edition of the widely used analysis book continues to cover real analysis in detail.

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

An in-depth look at real analysis and its applications—now expanded and revised.

This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory.

This edition is bolstered in content as well as in scope—extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include:

  • Revised material on the n-dimensional Lebesgue integral.
  • An improved proof of Tychonoff's theorem.
  • Expanded material on Fourier analysis.
  • A newly written chapter devoted to distributions and differential equations.
  • Updated material on Hausdorff dimension and fractal dimension.

Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

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  • Real Analysis
    An in-depth look at real analysis and its applications—now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set...
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Book Details

INFORMATION

ISBN: 9780471317166

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 23 April 1999

Country: United States

Imprint: John Wiley & Sons Inc

Edition: 2nd edition

Audience: Tertiary education

DIMENSIONS

Spine width: 28.0mm

Width: 164.0mm

Height: 241.0mm

Weight: 703g

Pages: 416

About the Author

GERALD B. FOLLAND is Professor of Mathematics at the University of Washington in Seattle. He has written extensively on mathematical analysis, including Fourier analysis, harmonic analysis, and differential equations.

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